What two numbers multiply to 400 and add up to 104?

Here we answer the question: "What two numbers multiply to 400 and add up to 104?"

The answer to your question is:

4 and 100

Below we illustrate and prove that 4 and 100 multiply to 400 and add up to 104:

4 × 100 = 400
4 + 100 = 104

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 104x + 400 = 0

If so, the solution to factor the quadratic equation above is:

(x + 4 ) (x + 100)

To summarize, since 4 and 100 multiply to 400 and add up 104, you know that the following is true:

x² + 104x + 400 = (x + 4 ) (x + 100)

Multiply To One Number and Add Up To Another
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